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Finding the Fourth Proportional to 9,469.48, 14,193.42 and 5,763.54

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Solution

The fourth proportional to 9,469.48, 14,193.42 and 5,763.54 is: 8,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.48 : 14,193.42 = 5,763.54 : x
  2. Step 2: Convert to fraction form
    9,469.48/14,193.42 = 5,763.54/x
  3. Step 3: Cross multiply
    9,469.48x = 14,193.42 × 5,763.54
  4. Step 4: Simplify right side
    9,469.48x = 81,804,343.91
  5. Step 5: Solve for x
    x = 81,804,343.91/9,469.48
  6. Step 6: Final answer
    x = 8,638.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.